Barbara Kaltenbacher,
"On Broyden's method for nonlinear ill-posed problems"
, 1998, B. Kaltenbacher, On Broyden's method for nonlinear ill-posed problems, Numer. Funct. Anal. Opt. 19 (1998), 807-833
Original Titel:
On Broyden's method for nonlinear ill-posed problems
Sprache des Titels:
Englisch
Englischer Titel:
On Broyden's method for nonlinear ill-posed problems
Englische Kurzfassung:
This paper is concerned with nonlinear ill-posed operator equations F(x)=y and their approximate solution by a quasi-Newton method, namely a regularized version of Broyden's method. Under an assumption on the nonlinearity of F (which is shown to be fulfilled for several examples of inverse problems) and with an appropriate stopping rule, local convergence and convergence rates results are proven. The theoretical results are illustrated by numerical tests.
Erscheinungsjahr:
1998
Notiz zum Zitat:
B. Kaltenbacher, On Broyden's method for nonlinear ill-posed problems, Numer. Funct. Anal. Opt. 19 (1998), 807-833
Publikationstyp:
Aufsatz / Paper in sonstiger referierter Fachzeitschrift
Forschungs-